Question

2. A grocery store has n watermelons to sell and makes $1.00 on en ditribution number of consumers of these watermelons is a random variable that can be approximated by th e Say the a pdf of the continuous type. If the groer does not have enoueh va unhappy eatoa all consumers, she figures that she loses $3.00 in goodwill from e watermelon But if she has surplus watermelons, she loses 50 cents on But he the numbeThe enough watermelons to sell to cents on each extra Let n be n of these watermelons. The profs n s 100) for sell and X be the number of consumers of these watermelons. The profit function C(X, n) is clearly a umber wa (a) Find profit function C(x,m), if X Sn (b) Find profit function C(x, n), if X >n (e) Compute E(C(a,n)), expected value of profit as a function of ) Select n to maximize that function defined above. (d

Answer 1

Profit tl. oo on each sale ond 1d,"cent" P100X-so (ax)n un tim c(x n) のOh 00 m eachad, and the Soo Pr= -300 (x.n) İf "?n l.oo n Do 100 0 100 loo Io o 100 (n-o)

5D loo a n lo O 1Oo moximiae h func tnas derivative dn too 4.5n z 400 n-88-88